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Finding the Fourth Proportional to 295.22, 407.35 and 184.66

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Solution

The fourth proportional to 295.22, 407.35 and 184.66 is: 254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.22 : 407.35 = 184.66 : x
  2. Step 2: Convert to fraction form
    295.22/407.35 = 184.66/x
  3. Step 3: Cross multiply
    295.22x = 407.35 × 184.66
  4. Step 4: Simplify right side
    295.22x = 75,220.46
  5. Step 5: Solve for x
    x = 75,220.46/295.22
  6. Step 6: Final answer
    x = 254.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.